Using Alternate exterior angles to prove two lines are parallel

The video tutorial explains how to determine if two lines, M and N, are parallel using the theorem of alternate exterior angles. It demonstrates setting up and solving an equation to find the value of X that makes the lines parallel. The process involves assuming the angles are equal, forming an equation, and solving for X. The tutorial concludes that when X equals 29, the lines are parallel, illustrating the application of alternate exterior angles in proving parallelism.

What theorem is used to determine if lines M and N are parallel?

• Corresponding Angles Theorem

• Vertical Angles Theorem

• Alternate Interior Angles Theorem

• Alternate Exterior Angles Theorem

What is the first step in solving for X to prove the lines are parallel?

• Add 14 to both sides

• Set the equations equal to each other

• Subtract 2X from both sides

• Multiply both sides by 3

What value of X makes the lines M and N parallel?

• 14

• 25

• 35

• 29

How many values of X make the lines M and N parallel?

• Four

• Three

• Two

• One

What happens when the alternate exterior angles are equal?

• The lines are skew

• The lines intersect

• The lines are parallel

• The lines are perpendicular